Finding the Fourth Proportional to 410,125,882.22, 565,977,246.40 and 233,922,798.94
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Solution
The fourth proportional to 410,125,882.22, 565,977,246.40 and 233,922,798.94 is: 322,815,475.33
Step by Step Solution
- Step 1: Write the proportion equation
410,125,882.22 : 565,977,246.40 = 233,922,798.94 : x - Step 2: Convert to fraction form
410,125,882.22/565,977,246.40 = 233,922,798.94/x - Step 3: Cross multiply
410,125,882.22x = 565,977,246.40 × 233,922,798.94 - Step 4: Simplify right side
410,125,882.22x = 132,394,981,613,850,384 - Step 5: Solve for x
x = 132,394,981,613,850,384/410,125,882.22 - Step 6: Final answer
x = 322,815,475.33
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.